Math Problem Statement
A number, x, rounded to 2 decimal places is 15.31. Write down the error interval for x.
Solution
To find the error interval for when is rounded to two decimal places as , we should consider the range of values that could round to .
Solution:
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Identify the rounding rule: Since is rounded to two decimal places, any number in the range from to will round to .
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Define the interval:
- The lower bound (inclusive) is .
- The upper bound (exclusive) is .
Final Answer:
The error interval for is:
Would you like more details on how to find error intervals?
Here are five related questions for further exploration:
- What is the error interval for a number rounded to one decimal place, for example, ?
- How would the error interval change if was rounded to three decimal places instead of two?
- Can you explain how to determine error intervals for different rounding methods, such as rounding up or down?
- How does an error interval differ from a confidence interval in statistics?
- What are some practical applications of error intervals in measurement and science?
Tip: Remember that error intervals represent all possible values a rounded number could have been before rounding. This helps ensure accuracy in scientific measurements and calculations.
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Math Problem Analysis
Mathematical Concepts
Rounding
Error Interval
Formulas
Error interval for rounding to n decimal places
Theorems
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Suitable Grade Level
Grades 7-9